What is the Least Common Multiple of 11845 and 11862?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 11845 and 11862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11845 and 11862, than apply into the LCM equation.

GCF(11845,11862) = 1
LCM(11845,11862) = ( 11845 × 11862) / 1
LCM(11845,11862) = 140505390 / 1
LCM(11845,11862) = 140505390

Least Common Multiple (LCM) of 11845 and 11862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11845 and 11862. First we will calculate the prime factors of 11845 and 11862.

Prime Factorization of 11845

Prime Factorization of 11862

Now multiplying the highest exponent prime factors to calculate the LCM of 11845 and 11862.

LCM(11845,11862) = 5¹ × 23¹ × 103¹ × 2¹ × 3² × 659¹
LCM(11845,11862) = 140505390